ON REFINABLE MODULES

Authors

  • Burcu NÄ°ÅžANCI TÃœRKMEN Department of Mathematics, Amasya University, Ä°pekköy, Amasya, Turkey

DOI:

https://doi.org/10.15520/ajcem.2014.vol3.iss5.6.pp48-51.

Abstract

We study on cofinitely (strong) refinable modules as a proper generalization of (strongly)  refinable modules. In  this paper various properties of these modules  are developed. It is shown that  (1) every (cofinite) direct summand of a (cofinitely) refinable module is (cofinitely) refinable; (2) a module is cofinitely refinable if and only if every cofinite direct summands lift modulo every submodule of ; (3) a ring  is Rad-supplemen-ted and left refinable if and only if it is semiperfect; (4) a semilocal ring  is a left and right artinian serial ring with  if and only if every left -module is strongly refinable.

 2010 Mathematics Subject Classification. 16D10,16D40.

Key words and phrases. (strongly) refinable module,  cofinitely (strong) refinable module, semiperfect ring

Author Biography

Burcu NİŞANCI TÜRKMEN, Department of Mathematics, Amasya University, İpekköy, Amasya, Turkey

Department of Mathematics, Amasya University, İpekköy, Amasya, Turkey

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Published

2014-09-28

How to Cite

TÃœRKMEN, B. N. (2014). ON REFINABLE MODULES. Asian Journal of Current Engineering and Maths, 3(5), 48–51. https://doi.org/10.15520/ajcem.2014.vol3.iss5.6.pp48-51.

Issue

Asian Journal of Current Engineering and Maths

Section

Mathematics

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